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How To Calculate Inductance

Inductance Formula:

\[ L = \frac{N^2 \mu A}{l} \]

turns
H/m
m

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1. What is Inductance?

Inductance is the property of an electrical conductor that opposes a change in current. It's measured in henries (H) and depends on the geometry of the coil and the magnetic permeability of the core material.

2. How Does the Calculator Work?

The calculator uses the inductance formula:

\[ L = \frac{N^2 \mu A}{l} \]

Where:

Explanation: The inductance increases with the square of the number of turns and is directly proportional to the core's permeability and cross-sectional area, while inversely proportional to the coil length.

3. Importance of Inductance Calculation

Details: Accurate inductance calculation is crucial for designing circuits, transformers, motors, and other electromagnetic devices. It helps predict how a component will behave in AC circuits and its energy storage capacity.

4. Using the Calculator

Tips: Enter all values in the specified units. Number of turns must be a whole number. Permeability values range from about 1.26×10⁻⁶ H/m (air) to much higher values for ferromagnetic materials.

5. Frequently Asked Questions (FAQ)

Q1: What is typical permeability for common materials?
A: Air/vacuum: ~1.26×10⁻⁶ H/m, Iron: ~6.3×10⁻³ H/m, Ferrite: ~2.5×10⁻⁴ to 1.26×10⁻² H/m.

Q2: How does coil shape affect inductance?
A: The formula assumes a solenoid. Other shapes (toroid, flat spiral) have different inductance formulas.

Q3: What if my coil has multiple layers?
A: The formula becomes more complex. Additional factors like winding pitch and inter-layer distance must be considered.

Q4: How accurate is this calculation?
A: It's accurate for ideal solenoids. Real-world factors like winding imperfections and core saturation may affect actual inductance.

Q5: What's the difference between self and mutual inductance?
A: This calculator computes self-inductance. Mutual inductance involves the interaction between two coils.

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